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Finding the Third Proportional to 353,550 and 763,572

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Solution

The third proportional to 353,550 and 763,572 is: 1,649,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,550 : 763,572 = 763,572 : x
  2. Step 2: Convert to fraction form
    353,550/763,572 = 763,572/x
  3. Step 3: Cross multiply
    353,550x = 763,572 × 763,572
  4. Step 4: Simplify right side
    353,550x = 583,042,199,184
  5. Step 5: Solve for x
    x = 583,042,199,184/353,550
  6. Step 6: Final answer
    x = 1,649,108.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.